Moduli spaces of parabolic bundles over ${\mathbb{P}}^1$ with five marked points

Abstract

This paper considers the moduli spaces/stacks of parabolic bundles (parabolic logarithmic flat bundles and parabolic logarithmic Higgs bundles with given spectrum) of rank 2 and degree 1 over ${\mathbb{P}}^1$ with five marked points. The foliation and stratification structures on these moduli spaces/stacks are investigated. In particular, we confirm Simpson's conjecture for the moduli space of parabolic logarithmic flat bundles with certain non-special weight system.

Minor corrections, final version, to appear in J. Math. Pures Appl

References in corpus (12)

• The Harder-Narasimhan system in quantum groups and cohomology of quiver moduli
• Moduli of Stable Parabolic Connections, Riemann-Hilbert correspondence and Geometry of Painlevé equation of type VI, Part I
• Kobayashi-Hitchin correspondence for tame harmonic bundles II
• Parabolic sheaves on logarithmic schemes
• Hyperpolygons and Hitchin systems
• Lower bounds for Lyapunov exponents of flat bundles on curves
• Automorphism group of the moduli space of parabolic bundles over a curve
• Moduli spaces of generalized hyperpolygons
• Stability and Indecomposability of the Representations of Quivers of $A_n$-type
• Simpson Filtration and Oper Stratum Conjecture
• Moduli spaces of Hecke modifications for rational and elliptic curves
• Automorphism group of the moduli space of parabolic vector bundles with fixed degree